For the answer to the question above,
From the data given, generate first the quadratic equation which best describe the height of the ball. The quadratic function has a general form of
f(x) = Ax^2 + Bx
Substituting the known data,
(1) 148 = A(1^2) + B(1)
(2) 272 = A (2^2) + B (2)
solving for A and B simultaneously,
A = -12
B = 160
So the to answer this problem, substitute 6 to x. Thus, after 6 seconds, the height is 528 feet.
